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2 International Journal of Applied Mechanics and Engineering

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Interactions due to mechanical sources in microstretch viscoelastic solid

Singh R., Kumar R.

International Journal of Applied Mechanics and Engineering

2008

Vol. 13, no 3

781-796

The eigen value approach, following Laplace and Fourier transforms, has been employed to find the general solution to the field equations in a microstretch viscoelastic medium for the plane strain problem. An application of an infinite space with an impulsive normal point force and influence function has been taken to illustrate the utility of the approach. The integral transforms have been inverted by using a numerical inversion technique to get the results in the physical domain. The results in the form of normal displacement, normal force stress, tangential force stress, tangential couple stress and microstress components have been obtained numerically and illustrated graphically to depict the effects of stretch and viscosity. Special cases of a microstretch elastic solid and micropolar elastic solid have also been deduced.

Elastodynamics of an axisymmetric problem in microstretch viscoelastic solid

Kumar R., Singh R.

International Journal of Applied Mechanics and Engineering

2005

Vol. 10, no 2

227-244

An eigen value approach, following Laplace and Hankel transforms, has been employed to find the general solution to the field equations in a microstretch viscoelastic medium for an axisymmetric problem. An application of an infinite space with a concentrated force at the origin has been presented to illustrate the application of the approach. The integral transforms have been inverted by using a numerical inversion technique to get the results in the physical domain. The results in the form of normal displacement, normal force stress, tangential force stress, tangential couple stress and microstress components have been obtained numerically and illustrated graphically to depict the effects of stretch and viscosity. Special cases of microstretch elastic solid and micropolar elastic solid have also been deduced.